• Title/Summary/Keyword: duality.

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A Suggestion of Air-conditioner Design Point for North America (북미형 에어컨 설계의 설계 관점)

  • 강태욱
    • Journal of the Korean Professional Engineers Association
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    • v.34 no.4
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    • pp.74-77
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    • 2001
  • Recently, many kinds of air-conditioners are supplied over the world. It is very Important that our winning against many competitors from any other countries. The room airconditioners, one of main export products are also developed for many other countries, but America is unique one of our markets at the point of product types after service and marketing. So, we need our new product development procedure and duality assurance system for the north America.

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EXTENSIONS OF DRINFELD MODULES OF RANK 2 BY THE CARLITZ MODULE

  • Woo, Sung-Sik
    • Bulletin of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.251-257
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    • 1995
  • In the catagory of t-modules the Carlitz module C plays the role of $G_m$ in the category of group schemes. For a finite t-module G which corresponds to a finite group scheme, Taguchi [T] showed that Hom (G, C) is the "right" dual in the category of finite- t-modules which corresponds to the Cartier dual of a finite group scheme. In this paper we show that for Drinfeld modules (i.e., t-modules of dimension 1) of rank 2 there is a natural way of defining its dual by using the extension of drinfeld module by the Carlitz module which is in the same vein as defining the dual of an abelian varietiey by its $G_m$-extensions. Our results suggest that the extensions are the right objects to define the dual of arbitrary t-modules.t-modules.

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CORE STABILITY OF DOMINATING SET GAMES

  • Kong, Liang;Fang, Qizhi;Kim, Hye-Kyung
    • Journal of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.871-881
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    • 2008
  • In this paper, we study the core stability of the dominating set game which has arisen from the cost allocation problem related to domination problem on graphs. Let G be a graph whose neighborhood matrix is balanced. Applying duality theory of linear programming and graph theory, we prove that the dominating set game corresponding to G has the stable core if and only if every vertex belongs to a maximum 2-packing in G. We also show that for dominating set games corresponding to G, the core is stable if it is large, the game is extendable, or the game is exact. In fact, the core being large, the game being extendable and the game being exact are shown to be equivalent.

AN ARTINIAN RING HAVING THE STRONG LEFSCHETZ PROPERTY AND REPRESENTATION THEORY

  • Shin, Yong-Su
    • Communications of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.401-415
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    • 2020
  • It is well-known that if char𝕜 = 0, then an Artinian monomial complete intersection quotient 𝕜[x1, …, xn]/(x1a1, …, xnan) has the strong Lefschetz property in the narrow sense, and it is decomposed by the direct sum of irreducible 𝖘𝖑2-modules. For an Artinian ring A = 𝕜[x1, x2, x3]/(x16, x26, x36), by the Schur-Weyl duality theorem, there exist 56 trivial representations, 70 standard representations, and 20 sign representations inside A. In this paper we find an explicit basis for A, which is compatible with the S3-module structure.

Analysis of Time, Duality, Difference, and Virtual Image in Partially Moving Image Cinemagraph

  • Kim, Young Il
    • Journal of Multimedia Information System
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    • v.6 no.4
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    • pp.191-196
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    • 2019
  • Humans use images on a daily basis-so much so that images are integral to their lives. Seeing is represented by an image, created or lived in it. Images required and developed a new paradigm from past to present. Today, images are in digital formats, and new techniques are increasing. Among them, cinemagraphs can find features that differ from previous images. The keywords found by comparing them in the image development are analyzed in detail through four characteristics in this paper. Cinemagraphs appearing in the keywords are interpreted in terms of each keyword and, through the example, the cinemagraph image can be approached concretely.

A Novel Silicon Direct Bonding Technology using Groove Matrix (홈파기를 이용한 새로운 실리콘 직접접합 기술)

  • 김은동;김남균;김상철;박종문;이승환
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1995.11a
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    • pp.81-84
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    • 1995
  • A reliable bonding between two silicon wafers, regularly grooved and non-grooved, was done by the direct boning technology, It is Presented that high structural duality was realized not only at the bended interface but in the bulk, commensurate with the filling of artificial grooves, which would be attributed to the dislocation-gettering capability of groove free-surfaces during annealing. The groove filling would be explained with mass-transport phenomena assisted by the dislocation movement from initial contact boundaries toward groove surfaces. Intrinsic voids can be easily removed by aid of the grooves. The proposed method yielded also an intimate bonding not only between {111} wafers strongly misoriented and slightly inclined to {111} basal plane but even between {111} and {100} orientation wafers.

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HAUSDORFF OPERATORS ON WEIGHTED LORENTZ SPACES

  • Sun, Qinxiu;Fan, Dashan;Li, Hongliang
    • Korean Journal of Mathematics
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    • v.26 no.1
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    • pp.103-127
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    • 2018
  • This paper is dedicated to studying some Hausdorff operators on the Heisenberg group ${\mathbb{H}}^n$. The sharp bounds on the strong-type weighted Lorentz spaces ${\Lambda}^p_u(w)$ and the weak-type weighted Lorentz spaces ${\Lambda}^{p,{\infty}}_u(w)$ are investigated. Especially, the results cover the classical power weighted space $L^{p,q}_{\alpha}$. The results are also extended to the product spaces ${\Lambda}^{p_1}_{u_1}(w_1){\times}{\Lambda}^{p_2}_{u_2}(w_2)$, especially for $L^{p_1,q_1}_{{\alpha}_1}{\times}L^{p_2,q_2}_{{\alpha}_2}$. Our proofs are quite different from those in previous documents since the duality principle, and some well-known inequalities concerning the weights are adopted. The results recover the existing results as well as we obtain new results in the new and old settings.

Study on the evaluate the achievements about R&D of SME's using the AHP : Transfer of technology development project (AHP를 활용한 중소기업 R&D 성과평가 관련 연구 -이전기술개발사업을 중심으로-)

  • Chang, Young-Soon;Roh, Dong-Gi;Seo, Jong-Hyen
    • Journal of the Korea Safety Management & Science
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    • v.18 no.1
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    • pp.209-217
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    • 2016
  • This study with the aim to develop a system that can be objectively measured and evaluated as a scientific support and of R&D. To this end, this study aimed at companies participating in the development of national technology transfer support program for SMEs examined the factors affecting performance. By developing metrics that meet the business objectives refer to the applicable national and international case studies and literature reviews, etc. In order to achieve the systematization of technology evaluation index, which was selected indicators. To evaluate the weight through the duality comparing selected indicators in order to take advantage of the AHP analysis conducted targeted surveys.

The Study of Suit Design and Materials for Middle-aged Men′s Visual Effect (중년남성 시각효과를 위한 수트디자인과 소재연구)

  • 박순천
    • Korean Journal of Human Ecology
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    • v.4 no.2
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    • pp.123-140
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    • 2001
  • The purpose of this study is to find the suitable suit design of mid-aged men by examining visual effects in Physical and Psychological side aspects. I used convenience sampling by considering sex and age distribution. These methods were used to analyze data that were frequency analysis, variate analysis, centesimal scale, primary factor analysis, three primary variate analysis, duality variate analysis, equation variate analysis and Cronbach's multiplex range verification 1. Image perception of men's suit was analyzed with arrangement, numbers of button, pattern and the shape of one's body and was divided into charming, youthfulness, modernism. affection and manly. 2. 1) There are partly resemblance difference in physical visual effect by the shape of body and suit design. 2) There are partly resemblance differences in psychological visual effect by one's shape and suit design. In conclusion arrangement, number of button and Pattern are very important to give an effect on whole visual effect man's suit. Also, these were felt differently in each types of body Therefore it is confirmed that the type of body is important fluent to make people perceive.

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The Application of Khachiyan's Algorithm for Linear Programming: State of the Art (선형계획법에 대한 Khachiyan 방법의 응용연구)

  • 강석호;박하영
    • Journal of the Korean Operations Research and Management Science Society
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    • v.6 no.1
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    • pp.65-70
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    • 1981
  • L.G. Khachiyan's algorithm for solving a system of strict (or open) linear inequalities with integral coefficients is described. This algorithm is based on the construction of a sequence of ellipsoids in R$^n$ of decreasing n-dimensional volume and contain-ing feasible region. The running time of the algorithm is polynomial in the number of bits of computer core memory required to store the coefficients. It can be applied to solve linear programming problems in polynomially bounded time by the duality theorem of the linear programming problem. But it is difficult to use in solving practical problems. Because it requires the computation of a square roots, besides other arithmatic operations, it is impossible to do these computations exactly with absolute precision.

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